Definition:Exponential Form of Complex Number/Also known as

Exponential Form of Complex Number: Also known as

Some sources refer to the exponential form $r e^{i \theta}$ of a complex number $z$ as polar form, and do not feel the need to treat it as a different representation from the $z = r \paren {\cos \theta + i \sin \theta}$ form.

Sources

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $3$: Elementary Analytic Methods: $3.7$ Complex Numbers and Functions: Polar Form: $3.7.2$
• 1990: H.A. Priestley: Introduction to Complex Analysis (revised ed.) ... (previous) ... (next): $1$ The complex plane: Complex numbers $\S 1.1$ Complex numbers and their representation
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): polar form of a complex number
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): polar form of a complex number